Question

The roots of the quadratic equation (x − 1)² = 16 are ______.

Options

• 5, 3

• 4, −4

• 5, −3

• −5, 3

Answer 1

The roots of the quadratic equation (x − 1)² = 16 are 5, −3.

Explanation:

Given: (x − 1)² = 16

Take the square root of both sides,

x − 1 = ±4

⇒ x − 1 = 4 or x − 1 = −4

⇒ x = 4 + 1 or x = −4 + 1

⇒ x = 5 or x = −3